Also called correspondence, map, mapping, transformation.a relation between two sets in which one element of the second set is assigned to each element of the first set, as the expression y = x2; operator.

Also called multiple-value function.a relation between two sets in which two or more elements of the second set are assigned to each element of the first set, as y2 = x2, which assigns to every x the two values y = +x and y = −x.

a set of ordered pairs in which none of the first elements of the pairs appears twice.

Geometry.

a formula expressing a relation between the angles of a triangle and its sides, as sine or cosine.

function

the natural action or intended purpose of a person or thing in a specific rolethe function of a hammer is to hit nails into wood

an official or formal social gathering or ceremony

a factor dependent upon another or other factorsthe length of the flight is a function of the weather

Also called: map, mappingmathslogica relation between two sets that associates a unique element (the value) of the second (the range) with each element (the argument) of the first (the domain): a many-one relation. Symbol: f(x) The value of f(x) for x = 2 is f(2)

verb(intr)

to operate or perform as specified; work properly

(foll by as)to perform the action or role (of something or someone else)a coin may function as a screwdriver

function

[fŭngk′shən]

A relationship between two sets that matches each member of the first set with a unique member of the second set. Functions are often expressed as an equation, such as y = x + 5, meaning that y is a function of x such that for any value of x, the value of y will be 5 greater than x.

A quantity whose value depends on the value given to one or more related quantities. For example, the area of a square is a function of the length of its sides.

function

In mathematics, a quantity whose value is determined by the value of some other quantity. For example, “The yield of this field is a function of the amount of fertilizer applied” means that a given amount of fertilizer will yield an amount of whatever crop is growing.